No real read on opponent. I did not 4bet since I would have position post flop(I try to 4bet QQ+ and AK if I wont have position after flop is this good or no?)
He took a long long time to bet flop, I called with the plan to bet almost any turn card if checked to. Is this an appropriate line? Turn bet could have been larger I know

PokerStars No-Limit Hold'em, $0.10 BB (5 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP ($6.10)
Hero ($9.85)
SB ($14.20)
BB ($17.30)
UTG ($17)

Preflop: Hero is Button with Q, Q.
2 folds, Hero raises to $0.4, 1 fold, BB raises to $1, Hero calls $0.60.

Flop: ($2.05) 2, 5, A (2 players)
BB bets $1.1, Hero calls $1.10.

Turn: ($4.25) 3 (2 players)
BB checks, Hero bets $3

Ugh fuck this no reads. I want to call so incredibly bad, but I figure I am either facing a set or a combo draw or both. What do I have odds to call?
PokerStars No-Limit Hold'em, $0.10 BB (5 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver Cards)

BB ($4.20)
Hero ($11.80)
MP ($16.05)
Button ($15.15)
SB ($16.90)

Preflop: Hero is UTG with , .
Hero raises to $0.4, MP calls $0.40, Button calls $0.40, SB calls $0.35, BB calls $0.30.

Flop: ($2) , , (5 players)
SB checks, BB checks, Hero bets $1.5, MP folds, Button raises to $14.75, SB raises to $16.5, BB folds, Hero ?!!!!